What is the Least Common Multiple of 60065 and 60070?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 60065 and 60070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60065 and 60070, than apply into the LCM equation.

GCF(60065,60070) = 5
LCM(60065,60070) = ( 60065 × 60070) / 5
LCM(60065,60070) = 3608104550 / 5
LCM(60065,60070) = 721620910

Least Common Multiple (LCM) of 60065 and 60070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60065 and 60070. First we will calculate the prime factors of 60065 and 60070.

Prime Factorization of 60065

Prime Factorization of 60070

Now multiplying the highest exponent prime factors to calculate the LCM of 60065 and 60070.

LCM(60065,60070) = 5¹ × 41¹ × 293¹ × 2¹ × 6007¹
LCM(60065,60070) = 721620910